In this paper we measure the angular power spectra C _ { \ell } of three high-redshift large-scale structure probes : the radio sources from the NRAO VLA Sky Survey ( NVSS ) , the quasar catalogue of Sloan Digital Sky Survey Release Six ( SDSS DR6 QSOs ) and the MegaZ-LRG ( DR7 ) , the final SDSS II Luminous Red Galaxy ( LRG ) photometric redshift survey . We perform a global analysis of the constraints on the amplitude of primordial non-Gaussianity from these angular power spectra , as well as from their cross-correlation power spectra with the cosmic microwave background ( CMB ) temperature map . In particular , we include non-Gaussianity of the type arising from single-field slow roll , multifields , curvaton ( local type ) , and those which effects on the halo clustering can be described by the equilateral template ( related to higher-order derivative type non-Gaussianity ) and by the enfolded template ( related to modified initial state or higher-derivative interactions ) . When combining all data sets , we obtain limits of f _ { NL } = 48 \pm 20 , f _ { NL } = 50 \pm 265 and f _ { NL } = 183 \pm 95 at 68 \% confidence level for local , equilateral and enfolded templates , respectively . Furthermore , we explore the constraint on the cubic correction g _ { NL } \phi ^ { 3 } on the bias of dark matter haloes and obtain a limit of -1.2 \times 10 ^ { 5 } < g _ { NL } < 11.3 \times 10 ^ { 5 } at 95 % confidence level .